Results 11 to 20 of about 47,483 (226)
Mathematics, 2022 In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely involving the Chen first invariant and the mean curvature of totally real and holomorphic spacelike submanifolds in statistical manifolds of type para ...
Simona Decu, Stefan Haesen
doaj +1 more source
Differential Geometry of Submanifolds in Complex Space Forms Involving δ-Invariants
Mathematics, 2022 One of the fundamental problems in the theory of submanifolds is to establish optimal relationships between intrinsic and extrinsic invariants for submanifolds.
Bang-Yen Chen +2 more
doaj +1 more source
GLOBAL DYNAMICS IN THE POINCARÉ BALL OF THE CHEN SYSTEM HAVING INVARIANT ALGEBRAIC SURFACES [PDF]
International Journal of Bifurcation and Chaos, 2012 In this paper, we perform a global analysis of the dynamics of the Chen system [Formula: see text] where (x, y, z) ∈ ℝ3 and (a, b, c) ∈ ℝ3. We give the complete description of its dynamics on the sphere at infinity. For six sets of the parameter values, the system has invariant algebraic surfaces.
Jaume Llibre +2 more
openaire +6 more sources
An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms
Mathematics, 2023 In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi +3 more
doaj +1 more source
δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms
Mathematics, 2020 In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for
Gabriel Macsim, Adela Mihai, Ion Mihai
doaj +1 more source
Pointed Admissible G-Covers and G-equivariant Cohomological Field Theories [PDF]
, 2005 For any finite group G we define the moduli space of pointed admissible G-covers and the concept of a G-equivariant cohomological field theory (G-CohFT), which, when G is the trivial group, reduce to the moduli space of stable curves and a cohomological ...
Jarvis, Tyler J. +2 more
core +1 more source
The Invariant of Chen-Nagano on Flag Manifolds [PDF]
Proceedings of the American Mathematical Society, 1993 In this paper an extension of the 2 2 -number ( # 2 ( M ) ) ({\# _2}(M)) of a symmetric space is given for k k -symmetric spaces. The new invariant is computed for flag manifolds which are not symmetric.
openaire +2 more sources
Homology and K-theory of the Bianchi groups [PDF]
, 2011 We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which are effectively computable thanks to their action on hyperbolic space.
Rahm, Alexander D.
core +6 more sources
Stringy K-theory and the Chern character [PDF]
, 2006 For a finite group G acting on a smooth projective variety X, we construct two new G-equivariant rings: first the stringy K-theory of X, and second the stringy cohomology of X.
A. Vistoli +21 more
core +1 more source
Cyclic Homology and Quantum Orbits [PDF]
, 2015 A natural isomorphism between the cyclic object computing the relative cyclic homology of a homogeneous quotient-coalgebra-Galois extension, and the cyclic object computing the cyclic homology of a Galois coalgebra with SAYD coefficients is presented ...
Maszczyk, Tomasz, Sütlü, Serkan
core +1 more source